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Finding the Fourth Proportional to 249,804.95, 344,722.23 and 142,409.57

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Solution

The fourth proportional to 249,804.95, 344,722.23 and 142,409.57 is: 196,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,804.95 : 344,722.23 = 142,409.57 : x
  2. Step 2: Convert to fraction form
    249,804.95/344,722.23 = 142,409.57/x
  3. Step 3: Cross multiply
    249,804.95x = 344,722.23 × 142,409.57
  4. Step 4: Simplify right side
    249,804.95x = 49,091,742,820.13
  5. Step 5: Solve for x
    x = 49,091,742,820.13/249,804.95
  6. Step 6: Final answer
    x = 196,520.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.